On the algebraization of a Feferman's predicate

Summary This paper is devoted to the algebraization of an arithmetical predicate introduced by S. Feferman. To this purpose we investigate the equational class of Boolean algebras enriched with an operation , which translates such predicate, and an operation , which translates the usual predicate Theor. We deduce from the identities of this equational class some properties of and some ties between and ; among these properties, let us point out a fixed-point theorem for a sufficiently large class of - polynomials. The last part of this paper concerns the duality theory for - algebras.Allatum est die 24 Maii 1976     

On a statistic arising in testing correlation

This paper is devoted to the study of a certain statistic,u, defined on samples from a bivariate population with variances ₁₁, ₂₂ and correlation . Let the parameter corresponding tou be . Under binormality assumptions the following is demonstrated. (i) If ₁₁ = ₂₂, then the distribution ofu can be obtained rapidly from theF distribution. Statistical inferences about = may be based onF. (ii) In the general case, allowing for _{11 22}, a certain quantity involvingu,r (sample correlation between the variables) and follows at distribution. Statistical inferences about may be based ont. (iii) In the general case a quantityt may be constructed which involves only the statisticu and only the parameter . If treated like at distributed magnitude,t admits conservative statistical inferences. (iv) TheF distributed quantity mentioned in (i) is equivalent to a certaint distributed quantity as follows from an appropriate transformation of the variable. (v) Three test statistics are given which can be utilized in making statistical inferences about = in the case ₁₁ = ₂₂. A comparison of expected lengths of confidence intervals for obtained from the three test statistics is made. (vi) The use of the formulas derived is illustrated by means of an application to coefficient alpha.This research was supported by the National Institute of Child Health and Human Development, under Research Grant 1 PO1 HD01762.     

Many stimuli are frightening,but some are more frightening than others: The contributions of preparedness,dangerousness, and unpredictability to making a stimulus fearful

The nonrandom distribution of situational fears has been explained by evolutionary survival relevance of specific fears. Thirty-eight stimuli were taken from the literature on preparedness and were scored on fearfulness, objective dangerousness, and spatiotemporal unpredictability by three separate groups of students. The same items were scored on survival relevance by 15 biologists. Fearfulness of cues significantly correlated not only with survival relevance but also, and even more strongly, with dangerousness and unpredictability. While the fear/survival relevance association virtually disappeared when the unpredictability contribution was partialed out, the fear/unpredictability correlation was only marginally affected when controlling for survival relevance. This suggests that nonrandomness of feared stimuli may result from the spatiotemporal unpredictability that is attributed to these stimuli. The current practice of using snakes and spiders as phobia-relevant, and flowers and mushrooms as neutral, cues was not justified by the ratings of the 15 independent experts.This study was supported in part by a grant from the Dutch Organization for Fundamental Research (ZWO/Psychon, 560-268-001).     

Interactional processes in families with disruptive boys: Patterns of direct and indirect influence

Patterns of direct and indirect influence were investigated in interactions among 44 families with disruptive boys. Positive and negative behaviors were assessed for spouses and parent-child dyads, in different laboratory situations. For direct or reciprocal influence, positive behaviors in the father-child dyads were positively correlated; mothers' positive behaviors were positively correlated with boys' negative behaviors, suggesting an unexpected pattern of inverse reciprocity. For indirect influences, the following associations were found: Fathers' negative behaviors toward their children predicted the children's negative behaviors toward their mothers, and mothers' negative behaviors toward their children predicted the children's negative behaviors toward their fathers, suggesting a form of setting event or displaced behavior pattern. The children's negative behaviors toward their mothers correlated with the fathers' behaviors toward the mothers, suggesting a modeling pattern. These indirect paths underline the relevance of taking into account family interlocked relationships when studying child disruptiveness.This study was funded by the Social Sciences and Humanities Research Council of Canada (SSHRC), the Québec Social Research Council (CQRS), and the Québec FCAR programs for research centers and research teams. We are also indebted to Jacinthe Sirois and Danielle Boisvcrt for documentation assistance, to Lyse Desmarais-Gervais for her help in data processing, and to Patricia L. Dobkin for revision.     

Appraisals of Child Behavior by Mothers of Problem and Nonproblem Toddlers

Mothers of problem and nonproblem toddlers rated videotapes of their own and unfamiliar children's behavior. They classified the behaviors as positive, negative, or neutral, and evaluated the intensity of the positive or negative behaviors. Ratings did not differ by problem status; however, all mothers classified their own children's behavior as less negative than did an independent observer. Mothers also evaluated all children's negative behavior as less aversive than did the observer. Finally, mothers mistakenly classified less of their own children's behavior as negative and more as positive when compared to their biases in classifying unfamiliar children's behavior.     

At-Risk for Diabetes: Coping with the News

This study assessed 37 children's and 38 adults', as well as their family members' (39 mothers and 26 spouses), coping responses to the news that they (or a loved one) were islet-cell antibody positive (ICA+) and at risk for type 1 diabetes. The Ways of Coping Checklist (WCC) was administered 4 months after ICA+ notification and at follow-up 10 months later. Participants' state anxiety was measured a few days after ICA+ notification and again 4 months later, at the time of the initial WCC administration. Children's coping strategies differed from those of adults, and mothers' coping strategies differed from spouses'. Initial state anxiety in response to ICA+ notification was related to how participants subsequently coped with the news. Coping, in turn, was related to maintenance of state anxiety over time.     

A Rose by any other name: Attitudes toward feminism as a function of its label

Male and female subjects were asked to rate one of the following labels on a variety of evaluative dimensions: equal rights for women (ERW), feminism (FEM), women's liberation (WLN) and women's lib (WLB). It was found that there were differences among the labels, with ERW being the most positively evaluated and WLN being the most negatively evaluated. Furthermore, there were sex differences on some of the dimensions wherein females made more favorable evaluations than males. Subjects' ratings were mixed, being favorable on some dimensions and unfavorable on others. Interpretations and implications of the results are discussed.     

Development of Gender Differences in Children's Responses to Animated Entertainment

This study examined gender differences in children's responses to animated scenes from an action adventure versus a sad film, and to animated previews of a prototypical male versus female movie. Females were more likely than males to express sadness in response to the sad scene, and gender differences in intensities of sadness increased with age. Children were much more likely to stereotype the male preview as most liked by other boys, whereas the majority of children perceived the female preview as liked by either gender equally. In terms of enjoyment of the male and female previews, gender differences in enjoyment of the male preview were apparent only among children who perceived the film as more appealing to boys, and gender differences in enjoyment of the female preview were apparent only among children who perceived the film as more appealing to girls. Implications for children's programming are discussed.     

Parental interpersonal perceptual style,child adjustment,and parent—Child interactions

This research examined relationships between parental interpersonal perceptual style (IPS)—the extent to which they are biased in their perceptions of children's behaviors—and (a) the adjustment of their own children and (b) parent-child interactions. In two studies, groups of parents first viewed a videotape of a male or female target child interacting with an adult in a playroom and then completed a behavior checklist about the target child that measured their IPS. In Study 1, parents' (especially fathers') IPS was found to be related to interaction between them and their 5-to7-year-old child; for example, the less negatively biased the father was, the more likely the child was to openly display antagonistic behavior toward his or her parents. In Study 2, fathers' (but not mothers') IPS was found to be related to the teacher- and peer-assessed level of psychosocial adjustment of their own third-grade child; fathers of problem children tended to be more negatively biased in their perceptions than were fathers of either adequate or highly adjusted children. Findings are discussed in terms of their implications for understanding the role that person perception processes play in family functioning and child development.This article is an adaptation of a paper presented as part of a symposium held during the 1977 meeting of the American Psychological Association. This research was supported by National Institute of Mental Health Grant No. 24250, Adult Perceptions and Child Behavior Dysfunctions.We wish to thank Linda Oiacomo and Phyllis Watts for their help. We also wish to thank the numerous students who provided invaluable assistance by collecting, coding, and scoring the data. The cooperation of the administration and staff of the Lansing, Michigan, School District, especially Eva Evans and Richard Benjamin, and the administration and staff of the East Lansing, Michigan, School District, especially Robert Docking and Warren Starr, is also very gratefully acknowledged.     

Child behavior,maternal depression,and social coercion as factors in the quality of child care

Observational and self-report data were obtained in the homes of 33 mother-child dyads. These volunteer, normal subjects were monitored with respect to their affectionate and aversive interactions, and the mothers were asked to provide three categories of self-report data. Mothers made observational judgments of their children, their own feelings of depression, and the valences of their interactions with adults. Multiple regression analyses were then employed to predict the mothers' child care behaviors, which were composed of observed mother responses and mother observational judgments. In addition, conditional probability analyses were conducted to examine the directionality of correlations between observed mother-child interchanges. Results showed child behavior to be the best single predictor of how the mothers responded to their children, followed by maternal depression and mother coercive interactions with adults. Child behavior was shown to be a significant antecedent cue for the maternal responses. However, the findings also showed that mother observational judgments about their children had little to do with how the children behaved. Rather, the maternal judgments were best predicted by mother depression, mother coercive interchanges with adults, and the mothers' observed aversive responses to their children. Results were interpreted within a systems framework in which maternal care is viewed as a response that is triangulated by adult-and child-produced stimuli.     

Children's knowledge of prepositional phrase structure: An experimental test

A test of prepositional phrase structure in 4- to 6-year-old children's language is reported. Children's productions of PP and verb-particle sequences were elicited. Children produced pronominal and full NP objects of sequences corresponding to PPs and verb-plus-particle in the adult grammar. Prepositions freely took both pronominal and full NP objects (He's jumping over it. He's jumping over the table). In particle verb constructions, pronominal objects were placed immediately after the verb in all but a few cases (He's pushing it overnot He's pushing over it). With full NP objects, the preference was to place the verb after the particle (He's pushing over the table). These facts support an analysis in which if the child constructs a PP-over-P—NP structure for prepositional phrases but not for verb-particle sequences, and follows adultlike rules for these structures.This research was supported in its initial stages by NIH grant No. HD90647-03 to T. Roeper and S.J. Keyser and was completed while the author was supported in part by grants from the Graduate School Research Committee of the University of Wisconsin-Madison and from the Spencer Foundation through the University of Wisconsin School of Education.     

What did mummy say? Dyadic interactions between young "hard to manage" children and their mothers

Thirty preschoolers rated as hard to manage on Goodman's (R. Goodman, 1997) Strengths and Difficulties Questionnaire (SDQ), and a group of matched control children were observed and recorded on audiotape at home, interacting with their mothers (Time 1). At the 18-month follow-up home visits (Time 2), the children and mothers were filmed across 4 observation settings. Mother–child interactions were rated on affect, control, responsiveness and connectedness of communication. At Time 1, mothers of the hard to manage group used more negative control and engaged in fewer connected conversations than did mothers in the control group. At Time 2, mothers of the hard to manage group displayed higher levels of negative control and lower levels of positive control. These results are discussed in terms of the importance of examining connected communication and different observation contexts when examining dyadic mother–child interactions.     

Stigma and Ostracism Associated with HIV/AIDS: Children Carrying the Secret of Their Mothers' HIV+ Serostatus

Qualitative interviews were conducted with mothers (N = 47) who had disclosed their HIV status to their children. The majority of mothers explicitly told their child not to disclose to other people that she was HIV-positive because they feared repercussions in the way of stigma and ostracism for both themselves and their child. Approximately one-fourth of the mothers identified safe people, to whom their child could discuss her serostatus, such as family members, health care providers, or therapists. The majority of the children respected their mothers' wishes; only four children disclosed to someone after being explicitly told not to do so. A significant number of children expressed concerns about their friends finding out, fearing that they would be ostracized or that it would be assumed they were also infected. In addition, the children did not want others to find out because they wanted to protect their mothers. The burden of keeping the secret of their mothers' serostatus does seem to be a stressor for some of the children.     

Fearfulness and Affective Evaluations of Pictures

Subjects high and low in temperamental fearfulness made a speeded decision regarding whether each of a series of affective pictures was unpleasant or pleasant. Fearful subjects made faster decisions on unpleasant pictures than did low fear subjects, whereas no difference was found between low and high fear participants when processing pleasant materials. Reaction time differences as a function of fearfulness were amplified when unpleasant pictures were also high in arousal, suggesting that stimulus intensity is a relevant methodological factor when assessing effects of temperament in cognitive processing. Taken together, these data are consistent with the hypothesis that an anxious or fearful temperament is associated with rapid reactions to unpleasant events.     

Children's understanding of some temporal terms denoting order,duration, and simultaneity

This study examined the comprehension by children of the concepts of order, duration, and simultaneity as reflected in certain linguistic structures. The children in the study were 3, 5, and 7 years old. Temporal order was examined through children's comprehension of two-clause sentences containing the conjunctions after, before, since, and until. Temporal duration was examined through children's understanding of one-clause sentences containing the progressive aspect and two-clause sentences containing the conjunctions since and until. These two conjunctions signal duration in the main clause when they conjoin two clauses. Simultaneity was studied through children's comprehension of two-clause sentences containing while. The results revealed that the order sentence structures (before and after) were generally comprehended by the children before the duration or simultaneous sentence structures, although at 7 years of age children were still not performing above chance on the order relation in since and until sentences. The duration sentence structures were comprehended by the children before the simultaneous sentence structures. The results support the literature in cognitive psychology and in philosophy which argues that order is simpler than duration is simpler than simultaneity.This report is based on a dissertation submitted to the University of Michigan in partial fulfillment of the requirement for the Ph.D.     

Six-year-old children's understanding of sentences adjoined with time adverbs

The adjoining of clauses with temporal links is the basis for many sentences that convey sequence of events. The present study attempts to delineate 6-year-old children's (N=30) understanding of the meaning sequences imparted by sentences adjoined with after, before, and until. Their performance of the meaning sequence for each of 24 carefully constructed sentences is compared to an adult model. Analysis of the results (using a Wilcoxon Matched Pairs Signed Rank Test) indicated that: (1)Ss understood sentences adjoined with after according to an adult model more frequently than before adjoined sentences (P<0.01); (b) Until adjoined sentences with a negative marker in the main clause were understood according to an adult model more often than until adjoined sentences with no such negative element, but the difference was not significant at a=0.01; (3)Ss understood before adjoined sentences according to an adult model more often than until adjoined sentences, but the difference was not significant at a=0.01. In general, the results indicated that 6-year-olds have not yet completed development of an adult grammar with respect to adjoining clauses with temporal links, after, before, and until.     

Conduct Problems and Level of Social Competence in Head Start Children: Prevalence, Pervasiveness, and Associated Risk Factors

The purpose of the current project was to determine the prevalence of conduct problems, low social competence, and associated risk factors in a sample of 4-year-old low-income children (N = 426) from 64 Head Start classrooms in the Seattle area. Conduct problems and social competence were assessed based on a combination of teacher reports, parent reports, and independent observations of children interacting with peers in the classroom and with parents at home. We examined the relative contribution of a variety of risk factors, including maternal history and socioeconomic background, current levels of stress and social support, mothers' emotional state, and parenting competence in relation to pervasive (i.e., at home and school) and nonpervasive conduct problems and low social competence. Findings indicated similar risk factors for conduct problems and for low social competence, with an ordered increase in the number of risk factors from normal to nonpervasive to pervasive groups. Harshness of parenting style (i.e., slapping, hitting, yelling) significantly distinguished between the three groups for low social competence and conduct problems. Positive affect, praise, and physical warmth from mothers were positively related to social competence but unrelated to conduct problems.     

Oral production of linguistically complex sentences with meaning relationships of time

The purpose of this investigation was to determine the abilities of children to use the adjoining mechanism in combining two constituent sentences with the temporal adjoiners: after, before, until, when, and while. To elicit responses, a sentence repetition task was devised that included these five temporal adjoiners in four different syntactic environments: transitive sentences with the adjoiner and the subordinate clause following the main clause, transitive sentences with the adjoiner and the subordinate clause preceding the main clause, intransitive sentences with the adjoiner and the subordinate clause following the main clause, and intransitive sentences with the adjoiner and the subordinate clause preceding the main clause. The 30 were between the ages of 4O and 66 years. They were average children who were free from any known emotional disturbance, who were acquiring Standard American English as a native language, who had normal speech and hearing, and whose parents had neither very high nor very low socioeconomic status. To the extent that the children in this study were representative of normal-speaking children of their ages, certain general conclusions were drawn. Children begin to use the temporal adjoining mechanism early, but they do not master it by the age of 66 years. The ability to use the adjoiners, nor is it equal for different syntactic structures nor for all degrees of semantic complexity. After, before, and when appear earlier than while and until. A rapid period of growth in learning to use the temporal adjoining mechanism occurs between the ages of 4 and 5 years. However, a plateau of learning appears to be reached between the ages of 5 and 6 years. In general, children first learn to use the temporal adjoining mechanism in intransitive sentences with the adjoining link in the middle or at the beginning of the utterance. Next, they learn to use it in transitive sentences with the adjoining link at the beginning of the utterance. Finally, they learn to use it in transitive sentences with the adjoining link in the middle of the utterance. In transitive sentences, children appear to learn the rule for placing the subordinate clause at the beginning of the utterance when temporally adjoining two constituent sentences before they learn the base structure rule. In intransitive sentences, they appear to learn the rule for placing the subordinate clause at the beginning of the utterance when temporally adjoining two constituent sentences at the same time that they learn the base structure rule. The underlying semantic relationships that are expressed by specific temporal adjoiners are important determinants of children's abilities to use these adjoiners. In linguistic evaluations, one should consider the syntactic environment in which the temporal adjoiner occurs and assume that after, before, and when are developmentally earlier than while and until.     

Scales,diagnoses, and child psychopathology: II. Comparing the CBCL and the DISC against external validators

Using a multimethod multistage screening procedure, the authors interviewed 201 parents and their children with the Diagnostic Interview Schedule for Children (DISC 2.1). In addition, parents completed the Child Behavior Checklist (CBCL) and other survey measures, while their children completed self-report scales. Receiver operating characteristic (ROC) analyses were done to determine optimal cutpoints on the CBCL, referenced to DISC diagnostic caseness. DISC diagnoses, DISC stem symptoms, CBCL scores, and CBCL ROC-cutpoints were compared against external validators, in order to determine the comparative advantages of each approach for assessing child psychopathology. Overall findings suggest that the controversies about best assessment strategies may be artificial: When both assessment approaches are compared using similar methods, they are reasonably comparable. However, highly specific diagnostic categories may show fewer relationships with external validators and may therefore need more systematic validational studies.The opinions and assertions contained in this paper are the private views of the authors and are not to be construed as official or as reflecting the views of the Department of Health and Human Services, the National Institute of Mental Health, the Walter Reed Army Institute of Research, or the Department of the Army.     

Tomboys and sissies: Androgynous children?

Psychological studies of masculinity-femininity in children have paralleled those done with adults, which often consider deviations from masculinity for males and femininity for females as abnormal and perhaps pathological. Children who demonstrate cross-sex behaviors, however, may become androgynous adults whose cross-sex behaviors mean flexibility, not pathology. This study had two purposes: (1) to identify potentially androgynous children as those labeled by their peers as tomboys and sissies; (2) to compare personality characteristics of androgynous children with those of peers. Subjects were 312 elementary school children in a midwestern city. Results indicate that the labels tomboy and sissy are not necessarily indicators of androgynous children, but important social behaviors are related to the labels. For males, the possibility of frustrated creativity was raised.